Abstract
A newly developed algorithm, GSMAC, remove the main problems for analyzing unsteady flow fields by finite element method, CPU time consumption and maximum storage limitation. This algorithm uses the concept of orthogonal decomposition and cycle-to cycle self-adjustment method. Unsteady viscous flow fields around a circular cylinder are considered to prove the effectiveness. The solution obtained by GSMAC agrees very well with the experimental results by Perry et al., especially for Karman vortex shedding process. Shapes, length and other properties of a pair-vortex behind a cylinder are also compared and in good agreement with the experimental results by Bouard & Coutanceau.